Enter the maximum and minimum values in the set of Y-values into the calculator to determine the range of a relation. This calculator can also evaluate any of the variables given the others are known.

Range Of Relation Formula

The following formula is used to calculate the range of a relation.

R = Max(Y) - Min(Y)

Variables:

  • R is the range of the relation
  • Max(Y) is the maximum value in the set of Y-values
  • Min(Y) is the minimum value in the set of Y-values

To calculate the range of a relation, find the maximum and minimum values in the set of Y-values. Subtract the minimum value from the maximum value. The result is the range of the relation.

What is a Range Of Relation?

A Range of Relation, in mathematics, refers to the set of all possible output values (typically represented as y) that a function or relation can produce. This is determined by the input values (typically represented as x) and the specific rules of the function or relation. The range is an essential aspect of understanding the behavior and characteristics of a function.

How to Calculate Range Of Relation?

The following steps outline how to calculate the Range of Relation.


  1. First, determine the maximum value in the set of Y-values (Max(Y)).
  2. Next, determine the minimum value in the set of Y-values (Min(Y)).
  3. Next, gather the formula from above = R = Max(Y) – Min(Y).
  4. Finally, calculate the Range of Relation.
  5. After inserting the variables and calculating the result, check your answer with the calculator above.

Example Problem : 

Use the following variables as an example problem to test your knowledge.

Max(Y) = 50

Min(Y) = 10